Area Between Curves

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Mathematics

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University

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Easy

Andrew Forisha

Used 12+ times

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4 Slides • 2 Questions

Area Between Curves

Let's start today with an integral...
Evaluate

\int_{ }^{ }\tan\left(x\right)dx

using the substitution rule.

Let's Decide

Two functions exist in this graph.
$y=3x^2+2$ and $y=4x$
They are bounded by vertical lines
What is the area between the curves bounded by these x-values? How did you do it?

Open Ended

$y=4-x^2$ and $y=-5$ are shown in the graph. At what two x-values to the graphs intersect?

Type response here

Area between the curves

How will we set this up?
What will be the area that is bounded between these two graphs?

Open Ended

$x=y^2$ and $x=2y$ are graphed on the same two dimensional coordinate grid. At what values will the two graphs cross?

Type response here

Let's Try it Without a Picture

From the previous question, which graph is to the right?
How are we going to set up this integral?

Area Between Curves

Let's start today with an integral...
Evaluate

\int_{ }^{ }\tan\left(x\right)dx

using the substitution rule.

Show answer

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